People on Lombok are fond of kids but less demonstrative about this than the Balinese. The main difference on Lombok and the Gilis is that services for children are much less developed.
Best Regions For Kids
Small island so kids won't get lost; gentle surf; many tourist amenities and activities such as snorkelling
Can feel cramped and maybe too close to Gili T debauchery
Modest, quiet hotels on the beach; limited traffic; reef-protected beach with gentle waves
Somewhat isolated; boring for teens; Lombok offers limited kid-specific diversions